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2002825 = 52117283
BaseRepresentation
bin111101000111110001001
310202202100201
413220332021
51003042300
6110532201
723011066
oct7507611
93682321
102002825
111148830
12807061
13551806
143a1c6d
1529866a
hex1e8f89

2002825 has 12 divisors (see below), whose sum is σ = 2709648. Its totient is φ = 1456400.

The previous prime is 2002823. The next prime is 2002829. The reversal of 2002825 is 5282002.

It is not a de Polignac number, because 2002825 - 21 = 2002823 is a prime.

It is a super-2 number, since 2×20028252 = 8022615961250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367 + ... + 3916.

It is an arithmetic number, because the mean of its divisors is an integer number (225804).

22002825 is an apocalyptic number.

2002825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2002825 is a deficient number, since it is larger than the sum of its proper divisors (706823).

2002825 is a wasteful number, since it uses less digits than its factorization.

2002825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2002825 is about 1415.2119982533. The cubic root of 2002825 is about 126.0513983637.

Adding to 2002825 its reverse (5282002), we get a palindrome (7284827).

It can be divided in two parts, 200 and 2825, that added together give a square (3025 = 552).

The spelling of 2002825 in words is "two million, two thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 275 7283 36415 80113 182075 400565 2002825